TY - JOUR

T1 - An Algorithm for Recovering the Characteristics of the Initial State of Supernova

AU - Kabanikhin, S. I.

AU - Kulikov, I. M.

AU - Shishlenin, M. A.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov’s method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.

AB - An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov’s method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.

KW - computational astrophysics

KW - Godunov’s scheme

KW - retrospective inverse problem

KW - supernova

UR - http://www.scopus.com/inward/record.url?scp=85088999047&partnerID=8YFLogxK

U2 - 10.1134/S0965542520060135

DO - 10.1134/S0965542520060135

M3 - Article

AN - SCOPUS:85088999047

VL - 60

SP - 1008

EP - 1016

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 6

ER -